RENORMALONS ON THE LATTICE

We present the first lattice calculation of the B-meson binding energy ($) over bar Lambda and of the kinetic energy lambda(1)/2m(Q) of the heavy-quark inside the pseudoscalar B-meson. In order to cancel the am biguities due to the ultraviolet renormalons present in the operator m atrix elements, this calculation has required the non-perturbative sub traction of the power divergences present in the Lagrangian operator ( $) over bar Q(x)D(4)Q(x) and in the kinetic energy operator ($) over b ar Q(x)($) over right arrow D(2)Q(x). The non-perturbative renormaliza tion of the relevant operators has been implemented by imposing suitab le renormalization conditions on quark matrix elements in the Landau g auge.